Abstract
AbstractA continuum stress measure is derived from molecular dynamics equations using a generalized mathematical homogenization (GMH) theory. GMH consists of solving a coupled fine‐scale (atomistic unit cell) problem and a coarse‐scale (continuum) problem. The fine‐scale problem derived can be interpreted as a molecular statics (at 0 K) problem, where the coarse‐scale problem derived is a constitutive law‐free continuum equation, which calculates the Cauchy stress directly from atomistics. The continuum stress derived is compared to various versions of the virial stress formula. Copyright © 2005 John Wiley & Sons, Ltd.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: International Journal for Numerical Methods in Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.